Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cc |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12902400 |
Modular degree for the optimal curve |
Δ |
-5.58669836875E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37595021,-88784828179] |
[a1,a2,a3,a4,a6] |
Generators |
[655301942397049878086838433498047613380:54751049352863311054432274309337485879231:59075943421318136562836961164730519] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
7.2290039752881 |
L(r)(E,1)/r! |
Ω |
0.030483316632219 |
Real period |
R |
59.286560436533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520p1 28880m1 6080n1 |
Quadratic twists by: -4 8 -19 |